[Election-Methods] [english 89%] Re: [english 95%] Re: [english 95%] Re: [english 94%]Re: method designchallenge+new method AMP

[Diego Santos]

How about antiplurality?

2008/5/4 <raphfrk at netscape.net>:

> I was thinking of a possible modification to your system that may take the
> chances of C to 100%.
>
> 1) Each voter submits a ballot rating each candidate.
>
> 2) The initial probability of each candidate is set at the proportion of
> highest ratings they get (equal top ratings split equally)
>
> 3) For each candidate:
>
> Add a small increase in their probability
>
> Renormalise probabilities (so bring total back to 1)
>
> Determine number of voters who think this probability set is an
> improvement
>
> 4) If the change that has the greatest support has the support of more
> than (high)% of the voters, update the probabilities and goto 3
>
> 5) Randomly draw a candidate based on the final probabilities
>
> The threshold for step 4 might be set at 90%.
>
>
> So under your system, the voters might submit:
>
> 51: A(100) B(52) C(0)
> 49: A(0) B(52) C(0)
>
> The initial probabilities are
>
> A: 51%
> B: 0%
> C: 49%
>
> Adding 1% to A would have the support of the A voters
> Adding 1% to B would have the support of the B voters
>
> Adding 1% to C would give
>
> A: 50.495%
> B: 1%
> C: 49.505%
>
> 100% voters consider that an improvement.
>
> This should be true the whole way until C gets to 100%
> A: 0.51%
> B: 0.49%
> C: 99%
>
> A voter's utility => 0.51*100 + 99*52 = 5199
> B voter's utility => 0.49*100 + 99*52 = 5197
>
> After
>
> A: 0%
> B: 0%
> C: 100%
>
> A voter's utility => 100*52 = 5200
> B voter's utility => 100*52 = 5200
>
> 100% of voters think it is an improvement.
>
> If A voters voted
>
> A(100) B(0) C(0)
>
> the the results would be
>
> Initial
>
> A: 51%
> B: 49%
> C: 0%
>
> Reducing the probability of A winning would represent a decrease in the
> utility from the perspective of the A voters (according to their votes).
>
> This means that no change would be approved by 90%+ of the voters and thus
> the initial probabilities would be the final ones.
>
> This is not as good from the A supporters, so they would be advised to
> vote honestly.
>
> The 90% rule prevents hold-outs and increases the chances that a single
> winner occurs with 100% probability.
>
> I am not sure if there a way for the A supporters to shift the result to a
> non-certain winner that they like better.
>
>
>
>  Raphfrk
> --------------------
> Interesting site
> "what if anyone could modify the laws"
>
> www.wikocracy.com
>
>
>  ------------------------------
> AOL's new homepage has launched. Take a tour<http://info.aol.co.uk/homepage/>now.
>
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>
>


-- 
________________________________
Diego Renato dos Santos
Mestrando em Ciência da Computação
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